New type of gap soliton in a coupled Korteweg--de Vries wave system

Journal Article · Mon Feb 14 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.949· OSTI ID:5214016

Grimshaw, R; Malomed, B A ^[1]

---

1. Department of Mathematics, Monash University, Clayton, Victoria 3168 (Australia)

We show that, in a narrow gap in the spectrum of two linearly coupled Korteweg--de Vries equations with opposite signs of the dispersion coefficient, a two-parameter family of solitons of a novel type may exist. These are envelope solitons with decaying oscillating tails, which are radically different from the gap solitons previously known in nonlinear optics. In particular, they may become singular at some value of the velocity, and degenerate into algebraic solitons in another special case. It is demonstrated that gap solitons of the same type may also exist in a nonlinear optical system consisting of focusing and defocusing tunnel-coupled planar lightguides.

• OSTI ID: 5214016
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:7; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ENERGY GAP
EQUATIONS
FOCUSING
KORTEWEG-DE VRIES EQUATION
OPTICAL SYSTEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SOLITONS